SOLUTION: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.

SOLUTION: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.

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Question 179409: Steve traveled 150 miles at a certain speed. Had he gone 20mph faster, the trip would have taken 2 hours less. Find the speed of his vehicle.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
Subtract (1) from (2)

And, since

Solve by completing the square

Notice the left side is a perfect square
And so is the right side

Take the square root of both sides

The speed is 30 mi/hr
check:
(1)
hrs
(2)
(2)
(2)

hrs
OK
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